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Finding the Fourth Proportional to 566.53, 843.48 and 558.43

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Solution

The fourth proportional to 566.53, 843.48 and 558.43 is: 831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 843.48 = 558.43 : x
  2. Step 2: Convert to fraction form
    566.53/843.48 = 558.43/x
  3. Step 3: Cross multiply
    566.53x = 843.48 × 558.43
  4. Step 4: Simplify right side
    566.53x = 471,024.54
  5. Step 5: Solve for x
    x = 471,024.54/566.53
  6. Step 6: Final answer
    x = 831.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.